An experimental analogue for memristor based Chua's circuit

TL;DR

This paper introduces a practical, inductor-free memristor-based circuit derived from Chua's circuit, capable of exhibiting diverse dynamical behaviors, verified through experiments and numerical simulations.

Contribution

It presents a novel analogue circuit design that replaces the memristor with an electronic analogy, enabling easier implementation and analysis of memristor dynamics.

Findings

Successfully designed and implemented the circuit

Produced experimental time series, phase portraits, and power spectra

Verified regular and chaotic dynamics using the 0-1 test

Abstract

This paper presents the dynamics of a practical equivalent of a smooth memristor oscillator derived from Chua's circuit. This approach replaces the conventional Chua's diode by a flux controlled memristor with negative conductance. The central idea is to design a practical memristor based circuit using electronic analogy in order to bypass problems related to the realization of memristor equivalents. The amplitude and the frequency of the oscillations are previously defined in the circuit design. The result is a robust and flexible circuit without inductors, which is able to reproduce a rich variety of dynamical behaviors. The proposed analogue circuit is successfully designed and implemented, producing experimental time series, phase portraits, and power spectra, which are corroborated by numerical simulations. The "0-1 test" is also performed in order to verify the regular and chaotic dynamics on the proposed analogue circuit.